Question

If f(x) = 2x2 + bx + c, find the value of "c" that makes the vertex of the given graph the same as the vertex of f(x).

A.) 24
B.) 56
C.) 75
D.) 90

Answer 1

Well it was a lucky guess but the answer is 75

Answer 2

Answer:

75

Use x =  

−b

2a

→ 6 =  

−b

2(2)

→ b = −24. Use the point (6, 3) in the function f(x) = 2x2 + bx + c → 3 = 2(6)2 −24(6) + c → c = 75

Step-by-step explanation: